ECAT Pre Engineering MCQ Test With Answer for Mathematics Full Book

r + 3 >5 then which is true

• r + 2 > 4 A
• r + 2 < 4 B
• r + 2 = 4 C
• None D

3/π=...........

• 54.71^ο A
• 21^ο B
• 51^ο C
• 29^ο D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -i B
• i C
• 0 D

The general term in the expansion of (a+x)n is

• (r-1)th term A
• (r+1)th term B
• rth term C
• none D

A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

• A proper fraction A
• An improper fraction B
• An equation C
• An identity D

if a_{9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is}

• 65 A
• 67 B
• 71 C
• 75 D

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

• A.P. A
• G.P. B
• H.P. C
• None of these D

Sine is a periodic function and its period is ______

• π A
• s B
• 2π C
• 4π
  D

To express a single rational fraction as a sum of two or more single rational fractions which are called

• improper fractions A
• Partial fractions B
• mixed form C
• Polynomials D

If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=

• 1 A
• 2 B
• -1 C
• -3 D

The vertex of the cone is also called

• nappes A
• axis B
• rulings C
• apex D

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

The number of the diagonals of a 6 sided figure is

• 15 A
• 21 B
• 9 C
• 6 D

In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics.

• 40 A
• 30 B
• 50 C
• 60 D

• 
  A
• 
  B
• 
  C
• 
  D

ax + by < c is linear inequality in

• four variables A
• three variables B
• two variables C
• one variable D

• 
  A
• 
  B
• 
  C
• 
  D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The value of sin [ arc cos (-1/2)] is

• 
  A
• 
  B
• 
  C
• 
  D

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

• 1 / 729 A
• 1 / 24 B
• 1 / 21 C
• 2 / 7 D

Zero is

• An irrational number A
• A rational number B
• A negative integer C
• A positive number D

• 
  A
• 
  B
• 
  C
• 
  D

Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

• 375 A
• 500 B
• 625 C
• 150 D

• 6 A
• 360 B
• 120 C
• 24 D

The first three terms in the expansion of (1 - x)^-2are

• 1 - 2x + 3x² A
• 1 - 2x - 3x² B
• 1 + 2x + 3x² C
• -2 - 2x +3x² D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D